Pair creation of neutral particles in a vacuum by external electromagnetic fields in 2 + 1 dimensions

Lin, Qiong-Gui

doi:10.1088/0954-3899/25/9/302

Cited by 18 publications

(27 citation statements)

References 15 publications

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“…Again retaining only leading terms in the limit L 1 , L 2 → ∞ (neglecting in particular oscillating terms) and taking into account Eqs. (16) and (21), we find…”

Section: Creation Of Neutral Fermionsmentioning

confidence: 57%

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Creation of neutral fermions with anomalous magnetic moments from a vacuum by inhomogeneous magnetic fields

Gavrilov

Гитман

2013

Phys. Rev. D

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A consistent nonperturbative approach (based on QFT) to neutral fermion creation (due to their magnetic moments) in strong inhomogeneous magnetic fields is considered. It is demonstrated that quantization in terms of neutral particles and antiparticles is possible in terms of the states with well-defined spin polarization. Such states are localizable and can form wave packets in a given asymptotic region. In this case, the problem can be technically reduced to the problem of charged-particle creation by an electric step. In particular, the relation to the Schwinger method of an effective action is established. As an example, we calculate neutral fermion creation from the vacuum by a linearly growing magnetic field. We show that the total number and the vacuum-to-vacuum transition probability of created pairs depend only on the gradient of the magnetic field, but not on its strength, and this fact does not depend on the spacetime dimension. We show that the created flux aimed in one of the directions is formed from fluxes of particles and antiparticles of equal intensity and with the same magnetic moments parallel to the external field. In such a flux, particle and antiparticle velocities that are perpendicular to the plane of the magnetic moment and flux direction are essentially depressed. The creation of neutral fermions with anomalous magnetic moments leads to a smoothing of the initial magnetic field, which in turn prevents appearance of superstrong constant magnetic fields. Our estimations show that the vacuum instability with respect to the creation of neutrinos and even neutrons in strong magnetic fields of the magnetars and fields generated during a supernova explosion has to be taken into account in the astrophysics. In particular, it may be of significance for dark matter studies.PACS numbers:12.20. Ds, 13.40.Em, 95.30.Cq,95.35.+d Keywords: nonperturbative vacuum pair production, anomalous magnetic moment, strong inhomogeneous magnetic field, dark matter

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“…Again retaining only leading terms in the limit L 1 , L 2 → ∞ (neglecting in particular oscillating terms) and taking into account Eqs. (16) and (21), we find…”

Section: Creation Of Neutral Fermionsmentioning

confidence: 57%

“…The results of Ref. [16] seem to be reasonable, but essentially use specific gamma matrices in 2 + 1 dimensions, and cannot provide a complete description of the effect.…”

Section: Introductionmentioning

confidence: 91%

Creation of neutral fermions with anomalous magnetic moments from a vacuum by inhomogeneous magnetic fields

Gavrilov

Гитман

2013

Phys. Rev. D

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“…Forms of electric field configurations permitting exact solutions, and QES states based on sl (2) It has been shown that the two-dimensional Dirac-Pauli equation is equivalent to a twodimensional Dirac equation minimally coupled to a vector potential by a duality transformation [14,25]. However, as mentioned in Sect.I, the square of the Dirac Hamiltonian minimally coupled to a vector potential is proportional to the Pauli equation up to an additive constant.…”

Section: Discussionmentioning

confidence: 99%

Quasi-exact solvability of Dirac?Pauli equation and generalized Dirac oscillators

2004

Annals of Physics

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In this paper we demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasiexactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the sl(2) symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.

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“…Indeed, the situation for the AC effect is equivalent to a (2+1)-dimensional problem because of the specific field configuration. Recently, we have calculated the probability of neutral particle-antiparticle pair creation in the vacuum by external electromagnetic fields in 2+1 dimensions, based on the nonminimal coupling [14]. Both scattering and bound-state problems in external fields are easier in 2+1 dimensions.…”

Section: Summary and Discussionmentioning

confidence: 99%

Bound states of neutral particles in external electric fields

Lin

1999

Phys. Rev. A

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Pair creation of neutral particles in a vacuum by external electromagnetic fields in 2 + 1 dimensions

Cited by 18 publications

References 15 publications

Creation of neutral fermions with anomalous magnetic moments from a vacuum by inhomogeneous magnetic fields

Creation of neutral fermions with anomalous magnetic moments from a vacuum by inhomogeneous magnetic fields

Quasi-exact solvability of Dirac?Pauli equation and generalized Dirac oscillators

Bound states of neutral particles in external electric fields

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